Much like in the game of chess, a bathroom stalemate is when two people are in a public restroom and neither wants to be the first to go, so both sit silently in their respective stalls as they wait for the other to leave, or for some loud noise to disguise their business.

1-I had to poop but found myself in a bathroom stalemate and had to wait for 20 minutes.
2- Stupid public bathrooms!